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Finding the Third Proportional to 40,851.84 and 61,889.06

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Solution

The third proportional to 40,851.84 and 61,889.06 is: 93,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,851.84 : 61,889.06 = 61,889.06 : x
  2. Step 2: Convert to fraction form
    40,851.84/61,889.06 = 61,889.06/x
  3. Step 3: Cross multiply
    40,851.84x = 61,889.06 × 61,889.06
  4. Step 4: Simplify right side
    40,851.84x = 3,830,256,057.13
  5. Step 5: Solve for x
    x = 3,830,256,057.13/40,851.84
  6. Step 6: Final answer
    x = 93,759.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.